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Finding the Fourth Proportional to 317,902.80, 476,465.40 and 140,221.20

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Solution

The fourth proportional to 317,902.80, 476,465.40 and 140,221.20 is: 210,160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,902.80 : 476,465.40 = 140,221.20 : x
  2. Step 2: Convert to fraction form
    317,902.80/476,465.40 = 140,221.20/x
  3. Step 3: Cross multiply
    317,902.80x = 476,465.40 × 140,221.20
  4. Step 4: Simplify right side
    317,902.80x = 66,810,550,146.48
  5. Step 5: Solve for x
    x = 66,810,550,146.48/317,902.80
  6. Step 6: Final answer
    x = 210,160.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.